Effective computations for weakly optimal subvarieties

Binyamini, G. and Daw, C. ORCID: https://orcid.org/0000-0002-2488-6729 (2024) Effective computations for weakly optimal subvarieties. Journal of the European Mathematical Society. ISSN 1435-9863 doi: 10.4171/JEMS/1408

Abstract/Summary

Ren and the second author established that the weakly optimal subvarieties (e.g. maximal weakly special subvarieties) of a subvariety V of a Shimura variety arise in finitely many families. In this article, we refine this theorem by (1) constructing a finite collection of algebraic families whose fibers are precisely the weakly optimal subvarieties of V; (2) obtaining effective degree bounds on the weakly optimal locus and its individual members; (3) describing an effective procedure to determine the weakly optimal locus.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/105512
Identification Number/DOI	10.4171/JEMS/1408
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	EMS Press
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